1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm

1.2 M1.2 MSusie Is 1.13 Metres TallShe Has A Play Tent In The Shape Of A Triangular Prism.The Diagram

Answers

Answer 1

Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.

Now using the Pythagorean theorem you can find the height:

Height - sqrt(1.2^2 - 0.75^2)

Height = sqrt(1.44 - 0.5625)

Height = sqrt(0.8775)

Height = 0.93675 meters

The height of the tent is smaller than the height of Suzie so she cannot stand up.


Related Questions

the circumference of a circle is 11pi ft. find its diameter, in feet​

Answers

Answer:

The diameter would be 11 feet

Step-by-step explanation:

C = pi * d

we don't know D so we rearrange the equation to solve for D by dividing both sides by pi:

C/pi = d

Now we plug in everything

11pi/pi = d

The pi cancel each other out leaving with 11 feet

Therefore D = 11 feet

A worker can complete the assembly of 15 cell phones in 6hrs. At this rate, how many can the worker complete in a 40hrs work week?? With full workin!!​

Answers

Answer: 100 cell phones.

Step-by-step explanation:

The worker makes 2.5 phones an hour. 2.5 x 40 = 100.

4. (a) Determine the sum of the interior angles of a dodecagon (12-sided polygon). Show your
work.
(b) Determine the sum of the exterior angles.

Answers

Answer:

A.1800 B.360

Step-by-step explanation:

a- 12-2×180=1800

b- 30x12=360

Today only, a sofa is being sold at a 72% discount. The sale price is 218.40.
What was the price yesterday?

Answers

Answer:

780

Step-by-step explanation:

Let x be the original price

x - x*72% is the new price

x - .72x = 218.40

.28x = 218.40

Divide each side by .28

.28x/.28 = 218.40/.28

x =780

Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -1.​

Answers

Answer:

y=3/5x-1

Step-by-step explanation:

A square has an area of 49 cm squared what is the length of each side

Answers

Answer:

7

Step-by-step explanation:

[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]

The length of the of each side of square is 7

Please hurry I will mark you brainliest
What are the slope and y-intercept of this line?

Answers

Answer:

y=2x-1

Step-by-step explanation:

The slope is 2/1=2 and the y-intercept is -1.

Answer:

Slope = 2, Y intercept = -1

Step-by-step explanation:

For the Slope use Rise/Run to calculate (you go two up and 1 over which means 2/1 which equals 2).

For the Y intercept find where the line intersects the Y Axis which is -1.

What is the value of the expression 53.5-5? please explain ​

Answers

48.5 is the answer.
Reason- an expression is an equation without an equal sign and this expression is saying 53.5 - 5.

Answer:

48.5

Step-by-step explanation:

53.5

-  5.0

48.5

5 tenths - 0 tenths = 5 tenths (.5)

3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)

the 5 in the tens position becomes a four because one got "borrowed"

4 - 0 = 4 (4)

48.5 is the result

The point slope form of the equation off the line that passes through (-4, -3) and (12, 1) is y -1=1/4(x-12). What is the standard form of the equation for this line ?

Answers

Y-1=1/4(x-12)
Y-1=1/4x-3
Y=1/4x-3+1
Y=1/4x-2
Now write it in standard form ax+by+c
-1/4x+y=-2
It’s better not to have a negative in front so y-1/4x=-2

Determine which lines are parallel and which are not parallel. Explain your reasoning.


1. m∠3=69°, m∠7=71°

2. m∠3=76°, m∠8=114°

(please explain!!)

Answers

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1)  m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

(4,-5) with slope of 2

Answers

that's a point slope form so

y +5 = 2(x -4)

Answer hurry which one 1 2 3 or 4?

Answers

Answer:

Option: 1

Step-by-step explanation:

Let,

Footprints that Adele will find be = f

So, Footprints that Yumiko finds = 2f = f + f

Since,

As given that,

Yumiko finds 16 Footprints so it will be,

2f = f + f = 16

And,

f = 16 / 2

= 8

Which is half of Footprints found by Yumiko.

So the bar model 1 represents it correct.

Answer:

option 1

Step-by-step explanation:

i did the quiz

geometry: follow directions below for each for each figure. show steps. circle answers. find the area of each figure!!

HELP ASAP!!!
THANK YOU SO MUCH:)))

Answers

Answer:

56 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 (14) (8)

A = 56 cm^2

A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

Answers

Answer: 133,827 lb/ft^3

Step-by-step explanation:

V = (4/3) (3.14)(8^3) = 133,827

Solve T=L(2+RS) for R

Answers

Answer:

Step-by-step explanation:

I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have

T = 2L + LRS

Next subtract the 2L to get

T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get

[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R  In that second term, the L's cancel each other out, leaving us with

[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R

Find the missing side of triangle

Answers

Answer:

Download gauthmath it will help Jesus loves you

Give me 5 starsssssssssssss

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

16 degrees

Step-by-step explanation:

Tan(?) = perpendicular/base

Tan(?) = 13/46

?=arctan(13/46)=16

What are the coordinates of the terminal point determined t= 10pi/3?

Answers

we know that :

10*pi/3------> convert to degrees------> 10*180/3=600 degrees

600=360+240

240 degrees belong to the III quadrant  so

the x-coordinate is negative

the y-coordinate is negative  

240°=180°+60°

60 degrees is the angle to find the terminal point

let  ∅=60°

in the unit circle

r=1 units

x=-r*cos ∅----> x=-cos 60------> x=-(1/2)

y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2

the point is ( -1/2 , -√3/2)

Confused on this one

Answers

Answer:

2nd is the correct answer for your question

0

Substitute 1/2 for x.

First term is 6 (1/2)^4
1/2 x 1/2 x 1/2 x 1/2 = 1/16
6 x 1/16 = 6/16

Find the value of x. Round
the nearest tenth.

Answers

Answer:

x = 13.5

Step-by-step explanation:

We need to use the law of sines

sin 27      sin 34

-------  = --------

11            x

Using cross products

x sin 27 = 11 sin 34

x = 11 sin 34/ sin 27

x=13.54901

To the nearest tenth

x = 13.5

what is 5cd

when c = 3
and d = 4​

Answers

5x3x4 = 60 probably

Answer:

60

Step-by-step explanation:

5*3*4

Write an expression for the area and the perimeter of this rectangle. The rectangle has a length of 15 and a width of x-5

Answers

Answer:

Area: 2(15 + (x - 5))

Perimeter: 2(15)+2(x - 5)

Step-by-step explanation:

To find area you need to add the two sides together and multiply by two, this is as far as you can get with x.

Area: 2(15 + (x - 5))

To find perimeter, you need to find the singular lengths and multiply by two so this is as far as you can get.

Perimeter: 2(15)+2(x - 5)

Hope this helped.

Find max, min of f(x)=|x^2+4x-5| (x∈[-3;0])

Answers

Oh hey there ain’t nothing lol I just wanted you to be a good man I don’t have to be there

what is the degree of the polynomial below

Answers

Answer:

d

Step-by-step explanation:

trust me gang

Answer:

the degree is the value of the highest exponent... 4x^3 the exponent is a three

answer "D"

Step-by-step explanation:

Please help.. I’ve done two of these and have been doing work since 5:30 a.m. I’m so tired right now

Answers

Answer:

19. 11

21. 119

Step-by-step explanation:

19.

(-5)² - [4(-3 ∙ 2 + 4)² + 3] + 5 =

= (-5)² - [4(-6 + 4)² + 3] + 5

= (-5)² - [4(-2)² + 3] + 5

= (-5)² - [4(4) + 3] + 5

= (-5)² - [16 + 3] + 5

= 25 - 19 + 5

= 6 + 5

= 11

21.

5 - 8[6 - (3 ∙ 2 - 8 + 2|4 ÷ -2 + (-3)| - 4) - 7 · 2] - 3² · (-2) =

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-2 + (-3)| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2|-5| - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (3 ∙ 2 - 8 + 2(5) - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (6 - 8 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (-2 + 10 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - (8 - 4) - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 7 · 2] - 3² · (-2)

= 5 - 8[6 - 4 - 14] - 3² · (-2)

= 5 - 8[2 - 14] - 3² · (-2)

= 5 - 8[-12] - 3² · (-2)

= 5 - (-96) - 9 · (-2)

= 5 + 96 + 18

= 101 + 18

= 119

SOME ONE PLEASE ACTUALLY HELP ME

Answers

Answer:

y = 658.3 ft

Step-by-step explanation:

x = 745.5 ft

y = 658.3 ft

tan 28 = 350/y

y = 658.3

Answered by GAUTHMATH

− 96 ÷ −6 ÷ 8 =
a) 2 b) -2

Answers

the answer is 2………………

Answer:

answer is 2

Step-by-step explanation:

answer is 2…………………………………

Which expression is equivalent to (3^2)^-2

Answers

Answer:

1/3^4

1/81

Step-by-step explanation:

(3^2)^-2

We know that a^b^c = a^(b*c)

3 ^(2*-2)

3^-4

We know that a^-b = 1/a^b

1/3^4

1/81

1 3/4 because (3^2) ^-2 that is the answer

Can anyone plz solve this question step by step ASAP!

Answers

Answer:

40√3 cm²

Step-by-step explanation:

Step 1

Find the height:

h² = 8² - (12 - 8)²h² = 64 - 16 = 48h = √48 = 4√3

Step 2

Find the area:

A = 1/2(a + b)hA = 1/2(12 + 8)(4√3) = 40√3 cm²

the answer is 72cm…i think but i’m sure it’s right

Three men and six women are waiting to be interviewed for jobs. If they are all selected in random order, find the probability that all men will be interviewed first.​

Answers

Answer:

1/84

Step-by-step explanation:

Total people:

3 + 6 = 9

Probabilities of men:

P(first man) = 3/9 = 1/3P(second man) = 2/8 = 1/4P(third man) = 1/7

Required probability is:

P(first 3 men) = 1/3*1/4*1/7 = 1/84
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